Title of article
The heat equation and reflected Brownian motion in time-dependent domains.: II. Singularities of solutions
Author/Authors
Krzysztof Burdzy، نويسنده , , Zhen-Qing Chen، نويسنده , , John Sylvester، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
34
From page
1
To page
34
Abstract
We study the space-time Brownian motion and the heat equation in non-cylindrical domains. The paper is mostly devoted to singularities of the heat equation near rough points of the boundary. Two types of singularities are identified—heat atoms and heat singularities. A number of explicit geometric conditions are given for the existence of singularities. Other properties of the heat equation solutions are analyzed as well.
Keywords
Brownian motion , Space-time Brownian motion , Heat equation , parabolic equations , Non-cylindrical domains , Neumann boundary conditions
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
761667
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